 
Summary: ERRATUM FOR COMMUTING ELEMENTS AND SPACES OF
HOMOMORPHISMS
A. ADEM
AND F. R. COHEN
Abstract. We correct some cohomology calculations appearing in [1].
In the preprint [2], M. Crabb has pointed out that two of the cohomology calculations
in [1], namely Theorem 1.4 and Theorem 4.12 are not consistent with the results in his
paper. Here we outline how to correct the results in our paper.
Consider the MayerVietoris spectral sequence in integral cohomology associated to the
covering X[3] = X1,2 X1,3 X2,3 where X[3] denotes the noncommuting triples in SU(2)
and the Xi,j correspond to the noncommutativity of the ith and jth coordinates. It
will have as its E1 term
Ep,q
1
=
Hq
(X1,2, Z) Hq
